Gandalf the Grey started in the Forest of Mirkwood at a point with coordinates (0,1)and arrived in the Iron Hills at the point with coordinates (1,6). If he began walking in the direction of the vector v=4i+2j and changes direction only once, when he turns at a right angle, what are the coordinates of the point where

Q: A position vector is given as 7 = 2i + 5j. Now if you rotate the position vector by an angle of + a…

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Q: A hiker decides to go for a walk in the woods. She walks 3 miles south of the cabin, then turns and…

A: Consider the figure below.

Q: Let A= (3.0 m, 200 south of east), B = (2.0 m, north), and C= (5.0 m, 700 south of west). Draw and…

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Q: Two vectors A and B are at right angles to each other. The magnitude of A is 5.00. What should be…

A: Given  Magnitude of vector A = 5.00 Magnitude of their sum (R) =6.00 Angle between the vectors = 900

Q: Vector V⃗ 1V→1 is 6.4 units long and points along the negative x axis. Vector V⃗ 2V→2 is 9.0 units…

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Q: Four men are competing in an air-racing event using their brand-new aerobatic planes. They took off…

A: Given :     A→ = -3i^-j^-2k^     B→ =  8i^-5j^-4k^     C→ = -6i^-4j^+7k^     D→ = 4i^-2j^+7k^

Q: You will be hiking to a lake with some of your friends by following the trails indicated on a map at…

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Q: A wall clock has a minute hand with a length of 0.46 m and an hour hand with a length of 0.26 m.…

A: Given: The length of the minute hand is 0.46 m. The length of the hour hand is 0.26 m.

Q: Consider the two vectors represented in the drawing. Which of the following options is the correct…

A: The two vectors are given . To find = correctly added vectors graphically

Q: You will be hiking to a lake with some of your friends by following the trails indicated on a map at…

A:

Q: Suppose you first walk A = 11.0 m in a direction 0, = 23° west of north and then B = 24.5 m in a…

A: first leg of walk (A) = 11 m @23o west of north Second leg of walk (B) = 24.5 m@45o south of west

Q: A sledge is being pulled by two horses on a flat, snowy terrain. The net force on the sledge can be…

A: The Net force is

Q: A small plane flies a distance d1 = 46 km in a direction θ1 = 62o north of east and then flies d2 =…

A: Depict the path followed by the small plane using the given co-ordinates,

Q: You are standing on the ground at the origin of a coordinate system. An airplane flies over you with…

A: Given values -  P30=(9.38  103î + 7.45  103ĵ) mP0= 7.45  103ĵ mWhere P = Position at particular time…

Q: Need answered Instructions for finding a buried treasure include the following: Go 75.0 paces at…

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Q: A man out walking his dog makes one complete pass around a perfectly square city block. He starts at…

A: Given data: The path is traveled clockwise and the path has a square shape.

Q: Why is the following situation impossible? A skater glides along a circular path. She defines a…

A:

Q: Given two vectors A = -2.00i3.00j4.00k and B 3.00i 1.00j 3.00k. Obtain components of a unit vector…

A: Given:

Q: Three vectors are shown in the figure below, along with an x-y coordinate system. y (m) 34 2- A -5…

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Q: The angles γ1 (with the X-Axis.),γ2 (with the Y- Axis ) and γ3 (with Z- Axis) that the vector v̄ of…

A: Given  magnitude of vector (v)=50  angle with x-axis=750 angle with y-axis=600 angle with z…

Q: You are standing on the ground at the origin of a coordinate system. An airplane flies over you with…

A: Given that: Height of plane = 6.65 X 103 m Vector leading from you, Pc = 6.65 X 103 m At t= 30 s…

Q: An elk runs a pattern given by the three displacement vectors A, B, and C shown in the diagram…

A: Here, it is given that, an elk runs a pattern given by three displacement vectors, A, B and C.  The…

Q: Using the standard cartesian coordinate system, which of the following vectors have a POSITIVE…

A: To find which of the given vectors have positive x component

Q: You are standing on the ground at the origin of a coordinate system. An airplane flies over you with…

A: Since the plane is travelling parallel to x axis the j component of P will remain constant.  The i…

Q: A skater glides along a circular path of radius 5.20 m. (a) If he coasts around one half of the…

A:

Q: A skater glides along a circular path of radius 5.10 m. (a) If he coasts around one half of the…

A: Given data:  Radius of the circular path r = 5.10 m

Q: A wall clock has a minute hand with a length of 0.51 m and an hour hand with a length of 0.27 m.…

A: The representation of a vector in the horizontal and vertical direction represented as x→=ax^y→=by^…

Q: On a fine Sunday afternoon, you went malling at the Mall of Asia. Starting from the parking lot, you…

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Q: Consider a tower 50 m south from your home, where the coordinate frame is centred at your home, such…

A: For the given condition the coordinates of the foot of the tower are given as (0, - 50, 0)  and the…

Q: For vectors B = -2î – 8j and A = -6î – 4j, calculate the following. (a) Á + B (Express your answer…

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Q: A. Specify the directions of the given vector. E A 309 B 60° 20° 75° Vector Direction A 120° В 60°…

A: To determine Direction of the Vectors

Q: A bus covered a displacement vector with components of Cx= ‒5700 km and Cy= -8000 km. What is the…

A: X component of displacement Cx = -5700km Y component of displacement Cy = -8000km Resultant…

Q: An ant on a picnic table travels 3.0 x 101 cm eastward, then 25 cm northward, and finally 15 cm…

A: In this question we are told that the ant moves eastwards, then northwards and at the end towards…

Q: A wall clock has a minute hand with a length of 0.46 m and an hour hand with a length of 0.26 m.…

A: Given: The length of the minute hand is, m=0.46 m. The length of the hour hand is, h=0.26 m.…

Q: Can someone please help me understand this question and how to get the answer? Two displacement…

A: In this question we have to find the magnitude of the sum of the two vectors. Please give positive…

Q: On a fine Sunday afternoon, you went malling at the Mall of Asia. Starting from the parking lot, you…

A: according to Sine law of triangle  SinAa=SinBb=SinCc

Q: You are standing on the ground at the origin of a coordinate system. An airplane flies over you with…

A: Since you have asked multiple questions, we will answer the first question for you according to the…

Q: Consider the two vectors, A= 17x+11.5y, B= 4.5x-3.5y a. What is the magnitude of the vector 3A+B?…

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Q: The x-component of a velocity vector that has an angle of 35 ∘ to the +x axis has a magnitude of 4.9…

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Q: Obtain expressions in component form for the position vectors having the following polar…

A: The expression for the component form of the position vectors is, Rx=RcosθRy=Rsinθ The polar…

Q: A car travels 90 meters due north in 15 seconds. Then the car turns 32° west of north and travels 40…

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Q: Margaret walks to the store using the following path: 0.650 mi west, 0.290 mi north, 0.210 mi east.…

A:

Q: You are standing on the ground at the origin of a coordinate system. An airplane flies over you with…

A: The airplane is moving with a constant velocity in the horizontal direction. Therefore, the vertical…

Q: (8c3p28) Given two vectors a = 3.5i -3.8j and b =6.8i+8.4j what is the magnitude (in m) of the…

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Q: You are standing on the ground at the origin of a coordinate system. An airplane flies over you with…

A:

Q: A ship captain is sailing through the Pacific Ocean. He started from a harbor in Hawaii and…

A:

Q: Consider the two vectors, A = 14x + 16y B = 3.3x-3.5y Part (a) What is the magnitude of the vector A…

A: As per the answering guidelines we will solve first three Parts. Please upload rest of the parts…

Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.